212011210210100 has 288 divisors, whose sum is σ = 584600849817600. Its totient is φ = 65092550745600.

The previous prime is 212011210210087. The next prime is 212011210210109. The reversal of 212011210210100 is 1012012110212.

It is a super-2 number, since 2×212011210210100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011210210109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11749646 + ... + 23708154.

Almost surely, 2^{212011210210100} is an apocalyptic number.

212011210210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011210210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292300424908800).

212011210210100 is an abundant number, since it is smaller than the sum of its proper divisors (372589639607500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212011210210100 is a wasteful number, since it uses less digits than its factorization.

212011210210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11958623 (or 11958616 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011210210100 its reverse (1012012110212), we get a palindrome (213023222320312).

The spelling of 212011210210100 in words is "two hundred twelve trillion, eleven billion, two hundred ten million, two hundred ten thousand, one hundred".